How many solutions are there for the system of equations y = sin^2x – 2^(1/2) sinx – 1 and y = x – 3 on the interval [0, 2π)?
1 Answer
Mar 30, 2018
There is one solution.
Explanation:
One can obtain an equation in x by setting the right sides of the two equations equal:
But this does no good because the equation cannot be solved using algebraic means.
I used a free online graphing calculator, Desmos, and observed that the graphs cross at only 1 point:
